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A generative modeling framework is proposed that combines diffusion models and manifold learning to efficiently sample data densities on manifolds. The approach utilizes Diffusion Maps to uncover possible low-dimensional underlying (latent)…

Machine Learning · Computer Science 2025-04-22 Dimitris G. Giovanis , Ellis Crabtree , Roger G. Ghanem , Ioannis G. Kevrekidis

Learning controllable and generalizable representation of multivariate data with desired structural properties remains a fundamental problem in machine learning. In this paper, we present a novel framework for learning generative models…

Machine Learning · Computer Science 2020-10-05 Ruixiang Zhang , Masanori Koyama , Katsuhiko Ishiguro

Many learning tasks in machine learning can be viewed as taking a gradient step towards minimizing the average loss of a batch of examples in each training iteration. When noise is prevalent in the data, this uniform treatment of examples…

Machine Learning · Computer Science 2021-04-06 Negin Majidi , Ehsan Amid , Hossein Talebi , Manfred K. Warmuth

Theoretically understanding stochastic gradient descent (SGD) in overparameterized models has led to the development of several optimization algorithms that are widely used in practice today. Recent work by~\citet{zou2021benign} provides…

Machine Learning · Computer Science 2025-06-19 Alexandru Meterez , Depen Morwani , Costin-Andrei Oncescu , Jingfeng Wu , Cengiz Pehlevan , Sham Kakade

Recent advances in generative models, such as diffusion models, have made generating high-quality synthetic images widely accessible. Prior works have shown that training on synthetic images improves many perception tasks, such as image…

Computer Vision and Pattern Recognition · Computer Science 2024-04-18 Jacob Schnell , Jieke Wang , Lu Qi , Vincent Tao Hu , Meng Tang

Recently there has been increased interest in semi-supervised classification in the presence of graphical information. A new class of learning models has emerged that relies, at its most basic level, on classifying the data after first…

Machine Learning · Computer Science 2022-02-07 Aseem Baranwal , Kimon Fountoulakis , Aukosh Jagannath

We introduce generative models for accelerating simulations of complex systems through learning and evolving their effective dynamics. In the proposed Generative Learning of Effective Dynamics (G-LED), instances of high dimensional data are…

Machine Learning · Computer Science 2024-02-28 Han Gao , Sebastian Kaltenbach , Petros Koumoutsakos

In many applications, data can be heterogeneous in the sense of spanning latent groups with different underlying distributions. When predictive models are applied to such data the heterogeneity can affect both predictive performance and…

Machine Learning · Statistics 2022-05-04 Thomas Lartigue , Sach Mukherjee

Learning, taking into account full distribution of the data, referred to as generative, is not feasible with deep neural networks (DNNs) because they model only the conditional distribution of the outputs given the inputs. Current solutions…

Machine Learning · Computer Science 2017-09-26 Boris Flach , Alexander Shekhovtsov , Ondrej Fikar

Current medical image synthetic augmentation techniques rely on intensive use of generative adversarial networks (GANs). However, the nature of GAN architecture leads to heavy computational resources to produce synthetic images and the…

Image and Video Processing · Electrical Eng. & Systems 2022-12-21 Meng Li , Brian Lovell

Stochastic gradient descent (SGD) is a workhorse algorithm for solving large-scale optimization problems in data science and machine learning. Understanding the convergence of SGD is hence of fundamental importance. In this work we examine…

Numerical Analysis · Mathematics 2024-12-11 Lehan Chen , Yuji Nakatsukasa

The integrity of training data, even when annotated by experts, is far from guaranteed, especially for non-IID datasets comprising both in- and out-of-distribution samples. In an ideal scenario, the majority of samples would be…

Machine Learning · Computer Science 2023-11-07 Zhilin Zhao , Longbing Cao , Chang-Dong Wang

Graph neural networks (GNNs) have been demonstrated to be powerful in modeling graph-structured data. However, training GNNs usually requires abundant task-specific labeled data, which is often arduously expensive to obtain. One effective…

Machine Learning · Computer Science 2020-06-30 Ziniu Hu , Yuxiao Dong , Kuansan Wang , Kai-Wei Chang , Yizhou Sun

Advances in neural network based classifiers have transformed automatic feature learning from a pipe dream of stronger AI to a routine and expected property of practical systems. Since the emergence of AlexNet every winning submission of…

Machine Learning · Computer Science 2017-03-08 Jiaming Song , Russell Stewart , Shengjia Zhao , Stefano Ermon

This work investigates the performance of the final iterate produced by stochastic gradient descent (SGD) under temporally dependent data. We consider two complementary sources of dependence: $(i)$ martingale-type dependence in both the…

Statistics Theory · Mathematics 2026-01-06 Yinan Shen , Yichen Zhang , Wen-Xin Zhou

The performance of an optimizer on large-scale deep learning models depends critically on fine-tuning the learning rate, often requiring an extensive grid search over base learning rates, schedules, and other hyperparameters. In this paper,…

Machine Learning · Computer Science 2025-06-11 Ruichen Jiang , Ali Kavis , Aryan Mokhtari

Giving up and starting over may seem wasteful in many situations such as searching for a target or training deep neural networks (DNNs). Our study, though, demonstrates that resetting from a checkpoint can significantly improve…

Machine Learning · Computer Science 2025-03-14 Youngkyoung Bae , Yeongwoo Song , Hawoong Jeong

Training neural networks on large datasets can be accelerated by distributing the workload over a network of machines. As datasets grow ever larger, networks of hundreds or thousands of machines become economically viable. The time cost of…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-02-26 Jeremy Bernstein , Jiawei Zhao , Kamyar Azizzadenesheli , Anima Anandkumar

Knowledge distillation has made remarkable achievements in model compression. However, most existing methods require the original training data, which is usually unavailable due to privacy and security issues. In this paper, we propose a…

Computer Vision and Pattern Recognition · Computer Science 2022-08-15 Xinyi Yu , Ling Yan , Yang Yang , Libo Zhou , Linlin Ou

Learning a parametric model from a given dataset indeed enables to capture intrinsic dependencies between random variables via a parametric conditional probability distribution and in turn predict the value of a label variable given…

Machine Learning · Statistics 2024-06-14 Elouan Argouarc'h , François Desbouvries , Eric Barat , Eiji Kawasaki